The h-p version of the boundary element method with geometric mesh on polygonal domains

DOI10.1016/0045-7825(90)90036-LzbMath0727.65097OpenAlexW2065651109MaRDI QIDQ803757

Ben Qi Guo, Ivo M. Babuška, Ernst Peter Stephan

Publication date: 1990

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90036-l

zbMATH Keywords

boundary element methodexponential rate of convergenceboundary element Galerkin solutiongeometric mesh refinementh-p version

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (15)

A posteriori error estimates for control problems governed by nonlinear elliptic equations in \(hp\)-FEM ⋮ An \(hpr\)-mesh refinement algorithm for BEM ⋮ Stability assessment of a unified variational boundary integral method applicable to thin scatterers and scatterers with corners ⋮ On the \(h\)-\(p\) version of the boundary element method for Symm's integral equation on polygons ⋮ The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems ⋮ Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations ⋮ The h‐, p‐ and hp‐versions of the BEM in elasticity: Numerical results ⋮ A posteriori error estimates for \(hp\) finite element solutions of convex optimal control problems ⋮ Regularized \(p\)-version collocation BEM algorithms for two-dimensional heat conduction ⋮ New \textit{a posteriori} error estimates for \textit{hp} version of finite element methods of nonlinear parabolic optimal control problems ⋮ A priori error estimates forhppenalty BEM for contact problems in elasticity ⋮ Bounds for eigenvalues and condition numbers in the 𝑝-version of the finite element method ⋮ Singularities and treatments of elliptic boundary value problems. ⋮ On the h-, p- and h-p versions of the boundary element method. - Numerical results ⋮ The p- and h-p versions of the finite element method. An overview

Cites Work

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• The h-p version of the finite element method for problems with nonhomogeneous essential boundary condition
• The h-p version of the finite element method. II. General results and applications
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. II: The Trace Spaces and Application to the Boundary Value Problems with Nonhomogeneous Boundary Conditions
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
• The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
• On the Convergence of the p-Version of the Boundary Element Galerkin Method
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
• The normal dervative of the double layer potential on polygons and galerkin approximation

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